I'll give brainliest!
find the area of the figure shown.
a. 2256 yd2
b. 2265 yd2
c. 2268 yd2
d. 2246 yd2

A.) 2256

Step-by-step explanation:

Don't let this figure intimidate you. Simplify it into shapes you already know-- we can cut this figure into a rectangle and a right triangle.

To find the length of the base of the triangle, subtract the total length, 53, by 41.

53-41 = 12

We know that the height is already 48, so just plug those values into the formula for the area of a triangle.

1/2 bh

1/2 (12)*(48)

1/2 * 576

The area for the triangle is 288 ft^2

But, we also need to find the area of the rectangle: You know how to do that, just l*w

Length = 41

Width = 48

41 * 48 = 1968

The area for the rectangle is 1968 ft^2

Add the two values: 288+1968 = 2256 ft^2

Although the unit is "feet" in the diagram, the answer choices have "yards" so I'm not too sure why that is, because if you were to convert this answer to yards it would just be 2256/3 which is 752, but that's clearly not an answer choice, so let's stick with 2256

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°